Nonlinear Finite Element Analysis of Solids and Structures

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Author : M. A. Crisfield
Genre : Mathematics

Summary :

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Author : M. A. Crisfield
Genre : Mathematics

Summary : Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL ftp://ftp.cc.ic.ac.uk/pub/depts/aero/nonlin2/.

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Author : René de Borst
Genre : Technology & Engineering

Summary : Built upon the two original books by Mike Crisfield and theirown lecture notes, renowned scientist René de Borst and histeam offer a thoroughly updated yet condensed edition that retainsand builds upon the excellent reputation and appeal amongststudents and engineers alike for which Crisfield's first edition isacclaimed. Together with numerous additions and updates, the new authorshave retained the core content of the original publication, whilebringing an improved focus on new developments and ideas. Thisedition offers the latest insights in non-linear finite elementtechnology, including non-linear solution strategies, computationalplasticity, damage mechanics, time-dependent effects,hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalledengineering approach assures this book's unique position within thecomputational mechanics literature. Key features: Combines the two previous volumes into one heavily revised textwith obsolete material removed, an improved layout and updatedreferences and notations Extensive new material on more recent developments incomputational mechanics Easily readable, engineering oriented, with no more details inthe main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory andalgorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with aPython code, based on the pseudo-code within the book and suitablefor solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2ndEdition is an essential reference for practising engineers andresearchers that can also be used as a text for undergraduate andgraduate students within computational mechanics.

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Author : M. A. Crisfield
Genre : Mathematics

Summary : This volume builds on the ideas of geometric non-linearity explained in Volume One. Continuum mechanics, plasticity and stability theory are covered in greater depth as it explores the research on non-linear finite elements. A supplementary set of programmes is available on the.

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Author : M.A. Crisfield
Genre :

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Author : Ted Belytschko
Genre : Science

Summary : Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.

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Author : Steen Krenk
Genre : Mathematics

Summary : Finite element analysis for non-linear solids and structure porblems.